2. The volume of a cylinder varies jointly with its height and the square of the radius. A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. Another spice container is 3 inches tall with a radius of 1.5 inches, what would be the volume?

Answers

Answer 1

Answer:

Volume=21.195 cubic inch

Step-by-step explanation:

The volume of a cylinder varies jointly with its height and the square of the radius is expressed as

V∝hr^2

Introducing our constant of proportionality,K we have that

V =Khr^2

Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that

V =Khr^2

7.85=K 2.5 X 1^2

K=7.85/2.5 x1

K=3.14

Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?

V =Khr^2

V=3.14 X 3 X 1.5^2

V=21.195 cubic inch


Related Questions

what is the m<2 = ?

Answers

Answer:

The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc

Step-by-step explanation:

The answer is 1 meter on each side

i'm almost done !!! thanks for the help

Answers

answer:

i believe the answer is "a"

good luck :) hopefully, this helps

have a great day !!

The answer is B 1 is also included

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Answers

Answer:

I will tell D or C but I'm not sure :-\

A point is reflected in the x-axis. The reflected point is (3,−9). What is the original point? The original point is ( , ). Question 2 What is the distance between the points? The distance between the points is units.

Answers

Answer:

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points is 18 units.

Step-by-step explanation:

The reflection of a point with respect to the x-axis is defined by the following operation:

[tex]P(x,y) = (x,y) \to P'(x,y) = (x, -y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]P'(x,y) = (3, -9)[/tex], then the original point is [tex]P(x,y) = (3,9)[/tex].

The original point is [tex]P(x,y) = (3,9)[/tex].

The distance between the points ([tex]d[/tex]), in units, is determined vectorially by the following expression, which is equivalent to the Pythagorean Theorem:

[tex]d = \sqrt{[P'(x,y) -P(x,y)]\,\bullet\,[P'(x,y) -P(x,y)]}[/tex]

[tex]d = \sqrt{(0,18)\,\bullet (0,18)}[/tex]

[tex]d = \sqrt{0^{2}+18^{2}}[/tex]

[tex]d = 18[/tex]

The distance between the points is 18 units.

Answer:(3,9) Distance 18 units.

Step-by-step explanation:

A survey was conducted to determine the favorite
snack food of 300 shoppers at a grocery store. The
circle graph shows the results of the survey.
How many shoppers chose cookies or fruit as their
favorite snack food?
Favorite Snack Foods
A 90
Cookies
15%
B
45
Fruit
15%
Other
5%
Candy
40%
C 60
Chips
25%
D 30

Answers

Answer:

Step-by-step explanation:

30

Answer:45

Step-by-step explanation:

Because 15% of 300 is 45

What is the slope of the line through (-9, 6) (-3, 9)

Answers

Slope= m= 1/2
Hope this helps!
To find the slope, you can use the equation y2-y1 divided by x2 - x1. When you plug in the numbers from the problem, the equation becomes 9-6/-3-(-9). We know that subtracting by a negative is the same as adding a positive, so the equation becomes 9-6/-3+9. When you solve this, it becomes 3/6, which can be simplified to become 1/2. I have attached an image to hopefully make this easier for you to understand because I know it’s a bit confusing written out in words (I’m sorry if the image is bad, I drew it on my phone). If there is anything that you need me to clarify, please let me know and I will be happy to help!

pls help I'm confused, oh and can you also explain it. 15pts​

Answers

Answer:

6

Step-by-step explanation:

This triangle is a special right triangle. In triangles with the angles 30, 60, and 90, the side opposite of the 30 degree angle will always be half the length of the hypotenuse. The hypotenuse is the longest side of a right triangle. In a 30 60 90 triangle, the long side will be equal to the short side multiplied by the squareroot of 3, but that is not needed for this problem. Since the hypotenuse is 12, the side opposite of the 30 degree angle, labeled "s h o r t" will be half of 12. Half of 12 is equal to 6, therefore the short side will be equal to 6.

lmk if i made a mistake, hope this helps :)

Please help solve
no link please

Answers

Answer:

17 x 8 x 15 x 7 = 14280

Warnings:Please I have 5 warnings I will never answer bad questions or say rude things please remove I warnings. Please I don't want to get banned.Please. No free points. Please.

help please due in a few hours!!

Answers

Answer:

10.03

Step-by-step explanation:

What is the measure of

Answers

Yeh provide more info

y= x^2 + 2


SOLVE I need help

Answers

I think the answer is (0,2)

A restaurant needs a block of ice that is exactly 480 cubic inches in volume.
The height of the ice block must be 10 inches.

Part A
Which of the following would be useful to help the ice seller
determine the base of the ice block?
A.

Ruler
B.

Grid paper
C.

Tape measure
D.

All of the above
Part B
What does the area of the base of the ice block need to be for the
given volume and height? Enter your answer in the box.

48
in2

Part C
What are the possible dimensions of the base of the ice block?
Drag all that could apply.
4 in. × 12 in. returned to choices list.4 in. × 12 in.
2 in. × 24 in.
8 in. × 6 in.
3 in. × 16 in.
6 in. × 9 in.
10 in. × 48 in.
Possible Dimensions of the Base

Answers

Answer:

Part a: tape measure part b: 48 and part c: 2x24, 4x12, 8x6, and 3x16

Step-by-step explanation:

let me know if it’s correct

Select the correct answer from each drop-down menu. Consider the end behavior of the function g(x) = |x-21 – 3. As x approaches negative infinity, f(x) approaches As x approaches positive infinity, 4(x) approaches v infinity. v infinity.

(the choices for each box is negative or positive)​

Answers

Answer:

negative

positive

Step-by-step explanation:

Answer: positive

positive

Step-by-step explanation:

97 is 100% of what number

Answers

Answer:

97

Step-by-step explanation:

if something is 100% then it is itself 1 is 100% of 1     76 is 100% of 76 and so on

It’s 97... lol HOPE THIS HELPS

What is an equation of the line that passes through the points (-6,-5) and (-3,0)?put your answer in fully reduced form

Answers

Step-by-step explanation:

The equation is y = -3x + 6.

Answer:

3y = 5x + 15

Step-by-step explanation:

Slope = Change in y-cordinates

---------------------------------

Change in x-cordinates

= 0 - (-5)/-3 - (-6)

= 5/3

Using point (-3,0)

y - y1 = m(x - x1)

y - 0 = 5/3 (x - (-3))

y = 5/3 (x + 3)

Expand the bracket

y = 5x/3 + 15/3

Multiply through by 3

3y = 5x + 15

Suppose the inflation rate is 7% per year. How much would a $24 pair of
sneakers cost in 8 years? Estimate your answer to 2 places after the decimal.
Tine your answer

Answers

7% of $24.00 is $1.68.
$1.68 x 8 = $13.44
$13.44 + $24.00 = $37.44

$37.44 would be how much they cost in 8 years

Emily walked around 2 parks. One measures 54 feet by 38 feet and other measure 32 feet by 22 feet. How much did she walk?

Answers

Answer:

292 feet

Step-by-step explanation:

If Emily walked round the two rectangular parks, she walked round the perimeter of the parks.

the total distance she walked can be determined by calculating the perimeter of each of the park and adding the perimeters together

Perimeter of a rectangle = 2 x ( length + breadth)

Perimeter of the first park = 2 x (54 ft + 38 ft) = 184 ft

Perimeter of the second park = 2x (32 + 22) = 108 ft

Sum of the perimeters = 184 ft + 108 ft = 292 ft

Simplify and then evaluate the equation
when a = 2 and b = 4.
b2 + 3(b-b2) – 2a = [?]
Help please

Answers

simplify - 2b^2 -2a +3b ( give me a sec i'm trying to evaluate now )

Mr.Jones earned $4,800.00 a week. One week he saved 1/5 of his wages was spent?

Answers

Answer:

960

Step-by-step explanation:

We need to find 1/5 of 4800, we will do:

4800/5=960

So 960 is our answer.

WILL GIVE BRAINLIEST!

Given that m∠a = 93° and m∠b = 71°, find m∠x and m∠y.

m∠x =

°

m∠y =

°

Answers

Step-by-step explanation:

angle b = 71°

so, x + b = 180° ( linear pair )

x + 71° = 180°

x = 180° - 71°

x = 109°

Now, a + y = 180° ( linear pair )

93° + y = 180°

y = 180° - 93°

y = 87°

Hence, the value of x is 109° and y is 87°.

One large bubble separates into four small bubbles so that the total area of the small bubbles is equal to the area of the large bubble. Each small bubble has a radius of 5 centimeters. What is the radius of the large bubble?

Answers

find area of 1 small bubble

πr² = π × 5²

= 78.54

total area of 4 small bubble

78.54 × 4 = 314.16

total area of 4 small bubble = area of big bubble

= 314.16

find it's radius

πr² = 314.16

r² = 314.16 ÷ π

r² = 100

r = √100

r = 10

Answer:

AREA OF LARGE BUBBLE=PI×R^2

AREA OF 1 SMALL BUBBLE =PI×r^2

then area of 4 small bubble =(PI×r^2)×4

now,

area of large bubble =area of 4 small bubble

PI×R^2=4×(PI×r^2)

R= 10 cm

solve the equation
-3|3x+6|+2=9​

Answers

Answer:

x= -0.36

firstly you need to open the brackets

-3(3x +6) + 2=9

-9x -18 + 2=9

secondly join the like terms together

-9x = 9 + 18 - 2

-9x = 25

thirdly you divide both sides by 25

-9x ÷ 25 = -0.36

x= -0.36

Brainliest i really need your help with this quick

Answers

Answer: 5 triangles to 8 shapes

5:8

Step-by-step explanation:

Answer:

Step-by-step explanation:

GUYS I NEED HELP WITH THIS ASAP!! PLS PLS PLS PLSSSSSS tysm to anyone who helps me. Luv y'all

Answers

add all the coins together
27/90 (27 is the number of copper coins)
reduce it to give you 3/10

Select the correct choice below and fill in any answer boxes present in your
choice.
O A. The solution of the system is
(Type an ordered pair.)
OB. There are infinitely many solutions.
O c. There is no solution

Answers

Answer:

c

Step-by-step explanation:

what is the area of this polygon? please help i’ll give brainliest

Answers

9514 1404 393

Answer:

  486√3 ft² ≈ 841.8 ft²

Step-by-step explanation:

The area of a regular hexagon with side length s is ...

  A = (3√3)/2s²

For the side length of 18 ft, the area is ...

  A = (3√3)/2(18 ft)² = 486√3 ft² ≈ 841.8 ft²

Which expression is equivalent to x2 + 2x + 2
a. (x + 1 - i ) (x + 1 + i)
b. (x - 1 + i) (x - 1 - i)
c. (x + 1 - i ) (x + 1 - i)
d. ( x + 2) (x + 1)

Answers

The answer is Option A.

x + 1 - i ) (x + 1 + i)

Solution:

x (x+2) +2

(x+1)² + 1

= (x + 1 - i ) (x + 1 + i)

Answer:

Step-by-step explanation:

for the expression you wrote: x2 + 2x + 2 the answer is: none

the expression you have there is: x² + 2x + 2 and the answer is: a

by expanding a:

(x + 1 - i ) (x + 1 + i) = x² + x + xi + x + 1 + i - xi - i  + 1

(x + 1 - i ) (x + 1 + i) = x² + x + x + 1 + 1

(x + 1 - i ) (x + 1 + i) = x² + 2x + 2

the area of the rectangle shown represents a polynomial. the dimensions of this rectangle represent the ____


A. terms of the polynomial

B. square of the polynomial

C. product of the polynomial

D. factors of the polynomial


HELP ME BESTIES PLS

Answers

Answer:

D) Factors of the polynomial

Step-by-step explanation:

Example: If the polynomial 10x² represents the area of the rectangle, then

2x and 5x will be the dimensions of the rectangle. Thus they will be factors of the polynomial.

So, dimensions of the rectangle represents the factors of the polynomial.

7. What is the missing measure?
12 cm
x х
3 cm
A 8 cm
B 4 cm
9 cm
C 6 cm
D 3 cm

Answers

B 4 cm

Scale is 3 so 12/3 is 4
te answer is 4. Because nvmldutuzugxuxgicyixyoxyoco

Which method would be the best to ensure they select the “most talented” soccer players? Answer choices are in the pic.

Answers

Answer:

the first choice

Step-by-step explanation:

the most talented ones are at the top of the list.

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